彼の話はつかみ所がなくて、何が言いたいのかわからなかった。
His story had no clear point, and I couldn't tell what he wanted to say.
That person has an elusive personality.
Literal meaning: a place to grab or hold onto. Less common than the figurative sense; often used in physical contexts or set phrases.
The rock had no handholds, so I couldn't climb it.